A positively charged insulating sphere with volume charge density ρ is

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A positively charged insulating sphere with volume charge density ρ is surrounded with a concentric insulating shell of inner radius R and outer radius 2 R, as shown in the picture below. The insulating shell is negatively charged and has volume charge density −ρ. For the best results, solve each part of this problem on paper, and check the multiple choice answers provided only after you have your own answer 1. Electric field inside the inner sphere. a) Consider a Gaussian surface of radius 0 < r < R. What is the charge enclosed by this Gaussian surface? Q1(r) = 4πr2ρ Q1(r) = 4πr23ρ Q1(r) = 4πR2ρ Q1(r) = 4πR23ρ

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A positively charged insulating sphere with volume charge density

ρ

is surrounded with a concentric insulating shell of inner radius

R

and outer radius

2 R

, as shown in the picture below. The insulating shell is negatively charged and has volume charge density

- ρ

For the best results, solve each part of this problem on paper, and check the multiple choice answers provided only after you have your own answer!

Electric field inside the inner sphere. a) Consider a Gaussian surface of radius $0 < r < R$ . What is the charge enclosed by this Gaussian surface? $Q_{1} (r) = 4 π r^{2} ρ$ $Q_{1} (r) = \frac{4 π m^{2}}{3} ρ$ $Q_{1} (r) = 4 π R^{2} ρ$ $Q_{1} (r) = \frac{4 π R^{*}}{3} ρ$